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Finding the Third Proportional to 469,170 and 1,024,352

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Solution

The third proportional to 469,170 and 1,024,352 is: 2,236,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,170 : 1,024,352 = 1,024,352 : x
  2. Step 2: Convert to fraction form
    469,170/1,024,352 = 1,024,352/x
  3. Step 3: Cross multiply
    469,170x = 1,024,352 × 1,024,352
  4. Step 4: Simplify right side
    469,170x = 1,049,297,019,904
  5. Step 5: Solve for x
    x = 1,049,297,019,904/469,170
  6. Step 6: Final answer
    x = 2,236,496.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.